Chapter 5 Foreign Currency Derivatives. Copyright © 2004 Pearson Addison-Wesley. All rights reserved. 5-2 Foreign Currency Derivatives Financial management

Chapter 5

Foreign Currency Derivatives

Copyright © 2004 Pearson Addison-Wesley. All rights reserved. 5-2

Foreign Currency Derivatives

• Financial management of the MNE in the 21st century involves financial derivatives.

• These derivatives, so named because their values are derived from underlying assets, are a powerful tool used in business today.

• These instruments can be used for two very distinct management objectives:– Speculation – use of derivative instruments to take a position

in the expectation of a profit

– Hedging – use of derivative instruments to reduce the risks associated with the everyday management of corporate cash flow


Foreign Currency Futures

• A foreign currency futures contract is an alternative to a forward contract that calls for future delivery of a standard amount of foreign exchange at a fixed time, place and price.

• It is similar to futures contracts that exist for commodities such as cattle, lumber, interest-bearing deposits, gold, etc.

• In the US, the most important market for foreign currency futures is the International Monetary Market (IMM), a division of the Chicago Mercantile Exchange.



• Contract specifications are established by the exchange on which futures are traded.

• Major features that are standardized are:– Contract size– Method of stating exchange rates– Maturity date– Last trading day– Collateral and maintenance margins– Settlement– Commissions– Use of a clearinghouse as a counterparty



• Foreign currency futures contracts differ from forward contracts in a number of important ways:– Futures are standardized in terms of size while forwards

can be customized

– Futures have fixed maturities while forwards can have any maturity (both typically have maturities of one year or less)

– Trading on futures occurs on organized exchanges while forwards are traded between individuals and banks

– Futures have an initial margin that is market to market on a daily basis while only a bank relationship is needed for a forward

– Futures are rarely delivered upon (settled) while forwards are normally delivered upon (settled)


Foreign Currency Options

• A foreign currency option is a contract giving the option purchaser (the buyer) the right, but not the obligation, to buy or sell a given amount of foreign exchange at a fixed price per unit for a specified time period (until the maturity date).

• There are two basic types of options, puts and calls.– A call is an option to buy foreign currency– A put is an option to sell foreign currency



• The buyer of an option is termed the holder, while the seller of the option is referred to as the writer or grantor.

• Every option has three different price elements:– The exercise or strike price – the exchange rate at

which the foreign currency can be purchased (call) or sold (put)

– The premium – the cost, price, or value of the option itself

– The underlying or actual spot exchange rate in the market



• An American option gives the buyer the right to exercise the option at any time between the date of writing and the expiration or maturity date.

• A European option can be exercised only on its expiration date, not before.

• The premium, or option price, is the cost of the option.



• An option whose exercise price is the same as the spot price of the underlying currency is said to be at-the-money (ATM).

• An option the would be profitable, excluding the cost of the premium, if exercised immediately is said to be in-the-money (ITM).

• An option that would not be profitable, again excluding the cost of the premium, if exercised immediately is referred to as out-of-the money (OTM)



• In the past three decades, the use of foreign currency options as a hedging tool and for speculative purposes has blossomed into a major foreign exchange activity.

• Options on the over-the-counter (OTC) market can be tailored to the specific needs of the firm but can expose the firm to counterparty risk.

• Options on organized exchanges are standardized, but counterparty risk is substantially reduced.


Foreign Currency Speculation

• Speculation is an attempt to profit by trading on expectations about prices in the future.

• Speculators can attempt to profit in the:– Spot market – when the speculator believes the

foreign currency will appreciate in value

– Forward market – when the speculator believes the spot price at some future date will differ from today’s forward price for the same date

– Options markets – extensive differences in risk patters produced depending on purchase or sale of put and/or call


Option Market Speculation

• Buyer of a call:– Assume purchase of August call option on Swiss

francs with strike price of 58½ ($0.5850/SF), and a premium of $0.005/SF

– At all spot rates below the strike price of 58.5, the purchase of the option would choose not to exercise because it would be cheaper to purchase SF on the open market

– At all spot rates above the strike price, the option purchaser would exercise the option, purchase SF at the strike price and sell them into the market netting a profit (less the option premium)

5-13

Exhibit 5.4 Profit and Loss for the Buyer of a Call Option on Swiss francs

Loss

Profit (US cents/SF)

+ 1.00

+ 0.50

0

- 0.50

- 1.00

57.5 58.0 59.0 59.558.5

Limited loss

Unlimited profit

Break-even price

Strike price

“Out of the money” “In the money”

“At the money”

Spot price(US cents/SF)

The buyer of a call option on SF, with a strike price of 58.5 cents/SF, has a limited loss of0.50 cents/SF at spot rates less than 58.5 (“out of the money”), and an unlimited profit potential at spot rates above 58.5 cents/SF (“in the money”).



• Writer of a call:

– What the holder, or buyer of an option loses, the writer gains

– The maximum profit that the writer of the call option can make is limited to the premium

– If the writer wrote the option naked, that is without owning the currency, the writer would now have to buy the currency at the spot and take the loss delivering at the strike price

– The amount of such a loss is unlimited and increases as the underlying currency rises

– Even if the writer already owns the currency, the writer will experience an opportunity loss

5-15

Exhibit 5.5 Profit and Loss for the Writer of a Call Option on Swiss francs

Loss


+ 1.00

+ 0.50

0

- 0.50

- 1.00

57.5 58.0 59.0 59.558.5

Limited profit

Unlimited loss

Break-even price

Strike price

“At the money”


The writer of a call option on SF, with a strike price of 58.5 cents/SF, has a limited profit of0.50 cents/SF at spot rates less than 58.5, and an unlimited loss potential at spot rates above (to the right of) 59.0 cents/SF.



• Buyer of a Put:– The basic terms of this example are similar to those just

illustrated with the call

– The buyer of a put option, however, wants to be able to sell the underlying currency at the exercise price when the market price of that currency drops (not rises as in the case of the call option)

– If the spot price drops to $0.575/SF, the buyer of the put will deliver francs to the writer and receive $0.585/SF

– At any exchange rate above the strike price of 58.5, the buyer of the put would not exercise the option, and would lose only the $0.05/SF premium

– The buyer of a put (like the buyer of the call) can never lose more than the premium paid up front

5-17

Exhibit 5.6 Profit and Loss for the Buyer of a Put Option on Swiss francs

Loss


+ 1.00

+ 0.50

0

- 0.50

- 1.00

57.5 58.0 59.0 59.558.5

Limited loss

Profit upto 58.0

Strike price

“In the money” “Out of the money”

“At the money”


The buyer of a put option on SF, with a strike price of 58.5 cents/SF, has a limited loss of0.50 cents/SF at spot rates greater than 58.5 (“out of the money”), and an unlimited profit potential at spot rates less than 58.5 cents/SF (“in the money”) up to 58.0 cents.

Break-evenprice



• Seller (writer) of a put:

– In this case, if the spot price of francs drops below 58.5 cents per franc, the option will be exercised

– Below a price of 58.5 cents per franc, the writer will lose more than the premium received fro writing the option (falling below break-even)

– If the spot price is above $0.585/SF, the option will not be exercised and the option writer will pocket the entire premium

5-19

Exhibit 5.7 Profit and Loss for the Writer of a Put Option on Swiss francs

Loss


+ 1.00

+ 0.50

0

- 0.50

- 1.00

57.5 58.0 59.0 59.558.5

Unlimited lossup to 58.0

Limited profit

Strike price


The writer of a put option on SF, with a strike price of 58.5 cents/SF, has a limited profit of0.50 cents/SF at spot rates greater than 58.5, and an unlimited loss potential at spot rates less than 58.5 cents/SF up to 58.0 cents.

Break-evenprice

“At the money”


Option Pricing and Valuation

• The pricing of any currency option combines six elements:

– Present spot rate

– Time to maturity

– Forward rate for matching maturity

– US dollar interest rate

– Foreign currency interest rate

– Volatility (standard deviation of daily spot price movements)


Option Pricing and Valuation

• The total value (premium) of an option is equal to the intrinsic value plus time value.

• Intrinsic value is the financial gain if the option is exercised immediately.

– For a call option, intrinsic value is zero when the strike price is above the market price

– When the spot price rises above the strike price, the intrinsic value become positive

– Put options behave in the opposite manner

– On the date of maturity, an option will have a value equal to its intrinsic value (zero time remaining means zero time value)

• The time value of an option exists because the price of the underlying currency, the spot rate, can potentially move further and further into the money between the present time and the option’s expiration date.

5-22

Exhibit 5.8 Intrinsic Value, Time Value & Total Value for a Call Option on British Pounds with a Strike Price of $1.70/£

1.69 1.70 1.71 1.72 1.731.681.671.660.0

1.0

2.0

3.0

4.0

5.0

Spot rate ($/£)

Option Premium(US cents/£)

3.30

5.67

4.00

6.0

1.74

1.67

Total value

Intrinsic value

Time value

-- Valuation on first day of 90-day maturity --


Currency Option Pricing Sensitivity

• If currency options are to be used effectively, either for the purposes of speculation or risk management, the individual trader needs to know how option values – premiums – react to their various components.



• Forward rate sensitivity:– Standard foreign currency options are priced around

the forward rate because the current spot rate and both the domestic and foreign interest rates are included in the option premium calculation

– The option-pricing formula calculates a subjective probability distribution centered on the forward rate

– This approach does not mean that the market expects the forward rate to be equal to the future spot rate, it is simply a result of the arbitrage-pricing structure of options



• Spot rate sensitivity (delta):– The sensitivity of the option premium to a

small change in the spot exchange rate is called the delta

delta = Δ premium

– The higher the delta, the greater the probability of the option expiring in-the-money

Δ spot rate



• Time to maturity – value and deterioration (theta):– Option values increase with the length of

time to maturitytheta = Δ premium

– A trader will normally find longer-maturity option better values, giving the trader the ability to alter an option position without suffering significant time value deterioration

Δ time

5-27

Exhibit 5.11 Theta: Option Premium Time Value Deterioration

Days remaining to maturity

Option Premium(US cents/£) A Call Option on British Pounds: Spot Rate = $1.70/£

0.0

1.0

2.0

3.0

4.0

5.0

6.0

7.0

90 80 70 60 50 40 30 20 10 0

In-the-money (ITM) call ($1.65 strike price)

At-the-money (ATM) call ($1.70 strike price)

Out-of-the-money (OTM) call ($1.75 strike price)



• Sensitivity to volatility (lambda):– Option volatility is defined as the standard

deviation of daily percentage changes in the underlying exchange rate

– Volatility is important to option value because of an exchange rate’s perceived likelihood to move either into or out of the range in which the option will be exercised

lambda = Δ premiumΔ volatility



• Volatility is viewed in three ways:

– Historic

– Forward-looking

– Implied

• Because volatilities are the only judgmental component that the option writer contributes, they play a critical role in the pricing of options.

• All currency pairs have historical series that contribute to the formation of the expectations of option writers.

• In the end, the truly talented option writers are those with the intuition and insight to price the future effectively.

• Traders who believe that volatilities will fall significantly in the near-term will sell (write) options now, hoping to buy them back for a profit immediately volatilities fall, causing option premiums to fall.



• Sensitivity to changing interest rate differentials (rho and phi):

– Currency option prices and values are focused on the forward rate

– The forward rate is in turn based on the theory of Interest Rate Parity

– Interest rate changes in either currency will alter the forward rate, which in turn will alter the option’s premium or value

• A trader who is purchasing a call option on foreign currency should do so before the domestic interest rate rises. This timing will allow the trader to purchase the option before its price increases.



• The expected change in the option premium from a small change in the domestic interest rate (home currency) is the term rho.

rho = Δ premium

• The expected change in the option premium from a small change in the foreign interest rate (foreign currency) is termed phi.

phi = Δ premium

Δ US $ interest rate

Δ foreign interest rate

5-32

Exhibit 5.13 Interest Differentials and Call Option Premiums

Interest differential: iUS$ - i £ (percentage)

Option Premium (US cents/£)

A Call Option on British Pounds: Spot Rate = $1.70/£

0.0

1.0

2.0

3.0

4.0

5.0

6.0

7.0

-4.0 -3.0 -2.0 -1.0 0 1.0 2.0 3.0 4.0 5.0

ITM call ($1.65 strike price)

ATM call ($1.70 strike price)

OTM call ($1.75 strike price)

8.0



• The sixth and final element that is important to option valuation is the selection of the actual strike price.

• A firm must make a choice as per the strike price it wishes to use in constructing an option (OTC market).

• Consideration must be given to the tradeoff between strike prices and premiums.

5-34

Exhibit 5.14 Option Premiums for Alternative Strike Rates

Call strike price (U.S. dollars/£)

Option Premium (US cents/£)

0.0

1.0

2.0

3.0

4.0

5.0

6.0

7.0

1.66 1.67 1.68 1.69 1.70 1.71 1.72 1.73 1.74 1.75

Current spot rate = $1.70/£

OTM Strike rates

ITM Strike rates

Documents

Chapter 5 Foreign Currency Derivatives. Copyright © 2004 Pearson Addison-Wesley. All rights reserved. 5-2 Foreign Currency Derivatives Financial management